The energy loss during the beating cilia phenomenon in the human stomach causing acidity in the blood flow under certain conditions has been a serious topic in the modern medical field. Therefore, the current study intends to exhibit a theoretical analysis of mixed convective transport of non-Newtonian Casson fluid observed by ciliary motion walls in the curved channel. The flow of constitutive equations is used to modify in curvilinear coordinates into a wave frame for two-dimensional flow due to the complication of the flow regime. The attributes of biological ciliary approximation are revealed through the control of viscous and inertial impacts utilizing the long-wavelength assumption and obtained the analytical closed form solutions for the normalized equations. The impacts of physical parameters on the velocity profile and heat flow phenomena are discussed. It is observed that the flow velocity, the momentum bolus and the trapped bolus are reduced in the cilia transport channel by enhancing the channel curvature. A validity of admirable comparison is also noticed with previously results.
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